Let H denote the smallest subgroup of S(5) containing the cycles (1 2 3) and (3,5)....

Question

Question

Let H denote the smallest subgroup of S(5) containing the cycles (1 2 3) and (3,5).

(a) List all the elements in H.
(b) How many left cosets of H in G are there?

math Advanced-Math

Answer 1

Answer #1

So lutino » a) ls-all element in Now since His Subgroup and 1,2 3)(3,5) 123) (35: (1235)CH (35) (123) (1253) H C123)-1-11 3

Answer 2

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